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Finding the Third Proportional to 66,519,396 and 142,231,608

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Solution

The third proportional to 66,519,396 and 142,231,608 is: 304,119,272.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,519,396 : 142,231,608 = 142,231,608 : x
  2. Step 2: Convert to fraction form
    66,519,396/142,231,608 = 142,231,608/x
  3. Step 3: Cross multiply
    66,519,396x = 142,231,608 × 142,231,608
  4. Step 4: Simplify right side
    66,519,396x = 20,229,830,314,265,664
  5. Step 5: Solve for x
    x = 20,229,830,314,265,664/66,519,396
  6. Step 6: Final answer
    x = 304,119,272.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.